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Finding the Fourth Proportional to 6,851.52, 10,278.72 and 2,692.80

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Solution

The fourth proportional to 6,851.52, 10,278.72 and 2,692.80 is: 4,039.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.52 : 10,278.72 = 2,692.80 : x
  2. Step 2: Convert to fraction form
    6,851.52/10,278.72 = 2,692.80/x
  3. Step 3: Cross multiply
    6,851.52x = 10,278.72 × 2,692.80
  4. Step 4: Simplify right side
    6,851.52x = 27,678,537.22
  5. Step 5: Solve for x
    x = 27,678,537.22/6,851.52
  6. Step 6: Final answer
    x = 4,039.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.